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Finding the Fourth Proportional to 202,820.82, 304,231.76 and 82,877.78

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Solution

The fourth proportional to 202,820.82, 304,231.76 and 82,877.78 is: 124,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820.82 : 304,231.76 = 82,877.78 : x
  2. Step 2: Convert to fraction form
    202,820.82/304,231.76 = 82,877.78/x
  3. Step 3: Cross multiply
    202,820.82x = 304,231.76 × 82,877.78
  4. Step 4: Simplify right side
    202,820.82x = 25,214,050,938.75
  5. Step 5: Solve for x
    x = 25,214,050,938.75/202,820.82
  6. Step 6: Final answer
    x = 124,316.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.